期刊: INVERSE PROBLEMS, 2021; 37 (6)
In numerous applications from communications and signal processing, we often need to acquire a K-sparse binary signal from sparse noisy linear measure......
期刊: INVERSE PROBLEMS, 2021; 37 (9)
We concern the operator partial derivative(t) - Delta + q with the Dirichlet boundary conditions on a bounded domain in R-n , n >= 3, and show that......
期刊: INVERSE PROBLEMS, 2021; 37 (7)
In this paper, we propose and analyze a fast Kaczmarz type method for solving multiple nonlinear ill-posed problems in Hilbert spaces. The method is t......
期刊: INVERSE PROBLEMS, 2021; 37 (9)
The paper is concerned with an inverse point source problem for the Helmholtz equation. It consists of recovering the locations and amplitudes of a fi......
期刊: INVERSE PROBLEMS, 2021; 37 (9)
This paper is devoted to the theoretical and numerical investigation of the local minimum problem in an inverse boundary value problem. We provide a m......
期刊: INVERSE PROBLEMS, 2021; 37 (6)
We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In the first ......
期刊: INVERSE PROBLEMS, 2021; 37 (6)
The iterative shrinkage threshold algorithm (ISTA) is widely used in solving linear inverse problems due to its simplicity. However, it depends on the......
期刊: INVERSE PROBLEMS, 2021; 37 (7)
Alternating direction method of multipliers (ADMM) is a popular first-order method owing to its simplicity and efficiency. However, similar to other p......
期刊: INVERSE PROBLEMS, 2021; 37 (7)
In planar objects computed tomography (CT), restricted to the scanning environment, projections can only be collected from limited angles. Moreover, l......
期刊: INVERSE PROBLEMS, 2021; 37 (9)
An adaptive multilevel iteration method via a coupled system is proposed, which leads to fast and effective algorithm for solving ill-posed integral e......
期刊: INVERSE PROBLEMS, 2021; 37 (5)
In the present paper, we devote our effort to a nonlinear inverse problem for simultaneously recovering the potential function and the fractional orde......
期刊: INVERSE PROBLEMS, 2021; 37 (6)
Diffuse optical tomography with near-infrared light is a promising technique for noninvasive study of the functional characters of human tissues. Math......
期刊: INVERSE PROBLEMS, 2021; 37 (10)
In this paper, we consider the inverse source problem for the time-fractional diffusion equation, which has been known to be an ill-posed problem. To ......
期刊: INVERSE PROBLEMS, 2021; 37 (8)
Removing mixed noise in images is a difficult problem which has been discussed in many recent papers. In this paper, we tackle the problem of having m......
期刊: INVERSE PROBLEMS, 2021; 37 (10)
This paper is concerned with an inverse problem of recovering a potential term and fractional order in a one-dimensional subdiffusion problem, which i......